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    MCQs: Normal Probability

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    Find the area under the standard normal curve between z=0 and z=3.

    A. 0.4987
    B. 0.9987
    C. 0.4641
    D. 0.0010

    IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individual's IQ score is found to be 110. Find the z-score corresponding to this value.

    A. -1.33
    B. 1.33
    C. -0.67
    D. 0.67

    The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. A baby is premature if it is born three weeks early. What percentage of babies are born prematurely?

    A. 9.21%
    B. 8.08%
    C. 6.81%
    D. 10.31%

    The distribution of cholesterol levels in teenage boys is approximately normal with and (Source: U.S. National Center for Health Statistics). Levels above 200 warrant attention. Find the probability that a teenage boy has a cholesterol level greater than 225.

    A 0.0718
    B 0.0012
    C 0.0336
    D 0.0606

    An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with ? = 15.5 and Ï? = 3.6. What is the probability that during a given week the airline will lose less than 20 suitcases?

    A 0.4040
    B 0.3944
    C 0.1056
    D 0.8944

    Assume that blood pressure readings are normally distributed with and A blood pressure reading of 145 or more may require medical attention. What percentage of people have a blood pressure reading greater than 145?

    A. 99.91%
    B. 6.06%
    C. 0.09%
    D. 11.09%

    Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $32,000 and a standard deviation of $3000. If a teacher is selected at random, find the probability that he or she makes more than $36,000.

    A. 0.1056
    B. 0.0918
    C. 0.4040
    D. 0.9082

    IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the x-score that corresponds to a z-score of -1.645.

    A. 79.1
    B. 91.0
    C. 82.3
    D. 75.3

    For the standard normal curve, find the z-score that corresponds to the 90th percentile.

    A. 0.28
    B 1.52
    C 1.28
    D 2.81

    Find the z-scores for which 90% of the distribution's area lies between -z and z.


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    Solution Summary

    The solution provides answers to multiple choice questions on normal probability. Relevant workings are also included.